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1143182785668 = 2237211331533971
BaseRepresentation
bin10000101000101011000…
…000001111110010000100
311001021202101002120100220
4100220223000033302010
5122212214243120133
62233100530304340
7145410064230600
oct20505300176204
94037671076326
101143182785668
11400903975010
121656817280b0
1383a5637cb61
143d48a65c500
151eb0bad55b3
hex10a2b00fc84

1143182785668 has 144 divisors (see below), whose sum is σ = 3395241739008. Its totient is φ = 296032968000.

The previous prime is 1143182785609. The next prime is 1143182785727. The reversal of 1143182785668 is 8665872813411.

It is an interprime number because it is at equal distance from previous prime (1143182785609) and next prime (1143182785727).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1873923 + ... + 2407893.

It is an arithmetic number, because the mean of its divisors is an integer number (23578067632).

Almost surely, 21143182785668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143182785668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697620869504).

1143182785668 is an abundant number, since it is smaller than the sum of its proper divisors (2252058953340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1143182785668 is a wasteful number, since it uses less digits than its factorization.

1143182785668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534334 (or 534325 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 60.

The spelling of 1143182785668 in words is "one trillion, one hundred forty-three billion, one hundred eighty-two million, seven hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 331 462 539 588 662 924 993 1078 1324 1617 1986 2156 2317 3234 3641 3972 4634 6468 6951 7282 9268 10923 13902 14564 16219 21846 25487 27804 32438 43692 48657 50974 64876 76461 97314 101948 152922 178409 194628 305844 356818 533971 535227 713636 1067942 1070454 1601913 2135884 2140908 3203826 3737797 5873681 6407652 7475594 11213391 11747362 14951188 17621043 22426782 23494724 26164579 35242086 41115767 44853564 52329158 70484172 78493737 82231534 104658316 123347301 156987474 164463068 176744401 246694602 287810369 313974948 353488802 493389204 530233203 575620738 706977604 863431107 1060466406 1151241476 1237210807 1726862214 1944188411 2120932812 2474421614 3453724428 3711632421 3888376822 4948843228 5832565233 7423264842 7776753644 8660475649 11665130466 13609318877 14846529684 17320951298 23330260932 25981426947 27218637754 34641902596 40827956631 51962853894 54437275508 81655913262 95265232139 103925707788 163311826524 190530464278 285795696417 381060928556 571591392834 1143182785668